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Finding the Fourth Proportional to 52,449.40, 78,674.10 and 13,006.20

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Solution

The fourth proportional to 52,449.40, 78,674.10 and 13,006.20 is: 19,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,449.40 : 78,674.10 = 13,006.20 : x
  2. Step 2: Convert to fraction form
    52,449.40/78,674.10 = 13,006.20/x
  3. Step 3: Cross multiply
    52,449.40x = 78,674.10 × 13,006.20
  4. Step 4: Simplify right side
    52,449.40x = 1,023,251,079.42
  5. Step 5: Solve for x
    x = 1,023,251,079.42/52,449.40
  6. Step 6: Final answer
    x = 19,509.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.